The observed galaxy power spectrum in General Relativity

Abstract Measurements of the clustering galaxies in Fourier space, and at low wavenumbers, offer a window into early Universe via possible presence scale dependent bias generated by Primordial Non Gaussianites. On such large scales Newtonian treatment density perturbations might not be sufficient to describe measurements, fully relativistic calculation should employed. The interpretation data is thus further complicated fact that effects break statistical homogeneity isotropy are potentially divergent Infra-Red (IR). In this work we compute for first time ensemble average most used space estimator spectroscopic surveys, including all general (GR) effects, allowing an arbitrary choice angular radial selection functions. We show any observable free IR sensitivity once GR terms, individually divergent, taken account, cancellation consequence Weinberg adiabatic mode as solution Einstein's equations. then study importance lensing magnification, galaxy power spectrum multipoles, finding they small, less than ten percent level, correction leading redshift distortions term. This represents baseline future investigations interplay between Gaussianities on space.